Prime p₀= 2509107151341322949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2509105870516539521	0 6 8 30 36 68 140 146 162 168 240 272 278 300 302 308	-1280824783428
STPT(10)	2509106187067726847	0 2 30 32 42 44 54 56 84 86	-964273596102
SPT(16)	2509106310571923679	0 22 40 42 112 114 148 162 190 204 238 240 310 312 330 352	-840769399270
SPT(16)	2509106350760197549	0 18 28 40 58 60 82 102 238 258 280 282 300 312 322 340	-800581125400
SPT(16)	2509106414012424071	0 2 6 30 32 96 98 108 230 240 242 306 308 332 336 338	-737328898878
SPT(13)	2509106438549337449	0 12 42 60 72 78 120 162 168 180 198 228 240	-712791985500
SPT(16)	2509107791362513157	0 14 24 26 62 122 146 152 174 180 204 264 300 302 312 326	640021190208
SPT(16)	2509107803080365671	0 2 20 48 78 98 162 182 198 218 282 302 332 360 378 380	651739042722
SPT(16)	2509107870095839303	0 4 46 114 120 130 144 148 246 250 264 274 280 348 390 394	718754516354
SPT(16)	2509107885837168713	0 14 30 38 54 84 108 138 140 170 194 224 240 248 264 278	734495845764
STPT(12)	2509108024990979507	0 2 12 14 60 62 84 86 132 134 144 146	873649656558